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12939552 = 2532179251
BaseRepresentation
bin110001010111…
…000100100000
3220100101201200
4301113010200
511303031202
61141201200
7214661433
oct61270440
926311650
1012939552
11733874a
124400200
1328b0852
141a0b81a
151208e1c
hexc57120

12939552 has 72 divisors (see below), whose sum is σ = 37149840. Its totient is φ = 4272000.

The previous prime is 12939541. The next prime is 12939571. The reversal of 12939552 is 25593921.

It is a happy number.

12939552 is a `hidden beast` number, since 12 + 93 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51427 + ... + 51677.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 212939552 is an apocalyptic number.

12939552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12939552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574920).

12939552 is an abundant number, since it is smaller than the sum of its proper divisors (24210288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12939552 is a wasteful number, since it uses less digits than its factorization.

12939552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 435 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 12939552 is about 3597.1588788932. The cubic root of 12939552 is about 234.7684576191.

The spelling of 12939552 in words is "twelve million, nine hundred thirty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 179 251 288 358 502 537 716 753 1004 1074 1432 1506 1611 2008 2148 2259 2864 3012 3222 4016 4296 4518 5728 6024 6444 8032 8592 9036 12048 12888 17184 18072 24096 25776 36144 44929 51552 72288 89858 134787 179716 269574 359432 404361 539148 718864 808722 1078296 1437728 1617444 2156592 3234888 4313184 6469776 12939552